Discretization and Implicit Mapping Dynamics

This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems. The stability and bifurcation theory of fixed points in discrete nonlinear dynamical systems is reviewed, and the explicit and implicit maps...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Luo, Albert C. J. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Nonlinear Physical Science,
Temas:
Nonlinear Optics.
Difference equations.
Functional equations.
Multibody systems.
Vibration.
Mechanics, Applied.
Difference and Functional Equations.
Multibody Systems and Mechanical Vibrations.
Acceso en línea:Texto Completo

MARC

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100 1 |a Luo, Albert C. J.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Discretization and Implicit Mapping Dynamics  |h [electronic resource] /  |c by Albert C. J. Luo. 
250 |a 1st ed. 2015. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2015. 
300 |a X, 310 p. 46 illus., 26 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Nonlinear Physical Science,  |x 1867-8459 
505 0 |a Introduction -- Nonlinear Discrete Systems -- Discretization of Continuous Systems -- Implicit Mapping Dynamics -- Periodic Flows in Continuous Systems -- Periodic Motions to Chaos in Duffing Oscillator. 
520 |a This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems. The stability and bifurcation theory of fixed points in discrete nonlinear dynamical systems is reviewed, and the explicit and implicit maps of continuous dynamical systems are developed through the single-step and multi-step discretizations. The implicit dynamics of period-m solutions in discrete nonlinear systems are discussed. The book also offers a generalized approach to finding analytical and numerical solutions of stable and unstable periodic flows to chaos in nonlinear systems with/without time-delay. The bifurcation trees of periodic motions to chaos in the Duffing oscillator are shown as a sample problem, while the discrete Fourier series of periodic motions and chaos are also presented. The book offers a valuable resource for university students, professors, researchers and engineers in the fields of applied mathematics, physics, mechanics, control systems, and engineering. 
650 0 |a Nonlinear Optics. 
650 0 |a Difference equations. 
650 0 |a Functional equations. 
650 0 |a Multibody systems. 
650 0 |a Vibration. 
650 0 |a Mechanics, Applied. 
650 1 4 |a Nonlinear Optics. 
650 2 4 |a Difference and Functional Equations. 
650 2 4 |a Multibody Systems and Mechanical Vibrations. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783662472743 
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830 0 |a Nonlinear Physical Science,  |x 1867-8459 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-662-47275-0  |z Texto Completo 
912 |a ZDB-2-PHA 
912 |a ZDB-2-SXP 
950 |a Physics and Astronomy (SpringerNature-11651) 
950 |a Physics and Astronomy (R0) (SpringerNature-43715) 

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